A Comparative Study of Metamodeling Methods for Multiobjective Crashworthiness Optimization
Fang, H., Rais-Rohani, M., Liu, Z., & Horstemeyer, M. (2005). A Comparative Study of Metamodeling Methods for Multiobjective Crashworthiness Optimization. Computers and Structures. Elsevier. 83, 2121-2136.
The response surface methodology (RSM), which typically uses quadratic polynomials, is predominantly used for
metamodeling in crashworthiness optimization because of the high computational cost of vehicle crash simulations.
Research shows, however, that RSM may not be suitable for modeling highly nonlinear responses that can often be
found in impact related problems, especially when using limited quantity of response samples. The radial basis functions
(RBF) have been shown to be promising for highly nonlinear problems, but no application to crashworthiness
problems has been found in the literature. In this study, metamodels by RSM and RBF are used for multiobjective optimization
of a vehicle body in frontal collision, with validations by finite element simulations using the full-scale vehicle
model. The results show that RSM is able to produce good approximation models for energy absorption, and the model
appropriateness can be well predicted by ANOVA. However, in the case of peak acceleration, RBF is found to generate
better models than RSM based on the same number of response samples, with the multiquadric function identified to be
the most stable RBF. Although RBF models are computationally more expensive, the optimization results of RBF
models are found to be more accurate.